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Finding the Third Proportional to 72,718.50 and 152,059.50

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Solution

The third proportional to 72,718.50 and 152,059.50 is: 317,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,718.50 : 152,059.50 = 152,059.50 : x
  2. Step 2: Convert to fraction form
    72,718.50/152,059.50 = 152,059.50/x
  3. Step 3: Cross multiply
    72,718.50x = 152,059.50 × 152,059.50
  4. Step 4: Simplify right side
    72,718.50x = 23,122,091,540.25
  5. Step 5: Solve for x
    x = 23,122,091,540.25/72,718.50
  6. Step 6: Final answer
    x = 317,967.11

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.